New type shift operators for three-dimensional infinite well potential

Guo Hua Sun; Shi Hai Dong

doi:10.1142/S0217732311034815

New type shift operators for three-dimensional infinite well potential

Guo Hua Sun, Shi Hai Dong

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψ_lm(r) and ψ _(l±1)(m±1)(r).

Original language	English
Pages (from-to)	351-358
Number of pages	8
Journal	Modern Physics Letters A
Volume	26
Issue number	5
DOIs	https://doi.org/10.1142/S0217732311034815
State	Published - 20 Feb 2011

Keywords

Factorization method
new type shift operators
three-dimensional infinite well potential

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10.1142/S0217732311034815

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title = "New type shift operators for three-dimensional infinite well potential",

abstract = "New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψlm(r) and ψ (l±1)(m±1)(r).",

keywords = "Factorization method, new type shift operators, three-dimensional infinite well potential",

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T1 - New type shift operators for three-dimensional infinite well potential

AU - Sun, Guo Hua

AU - Dong, Shi Hai

PY - 2011/2/20

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N2 - New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψlm(r) and ψ (l±1)(m±1)(r).

AB - New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψlm(r) and ψ (l±1)(m±1)(r).

KW - Factorization method

KW - new type shift operators

KW - three-dimensional infinite well potential

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U2 - 10.1142/S0217732311034815

DO - 10.1142/S0217732311034815

M3 - Artículo

SN - 0217-7323

VL - 26

SP - 351

EP - 358

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 5

ER -

New type shift operators for three-dimensional infinite well potential

Abstract

Keywords

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